kendrahosner36 kendrahosner36
  • 02-10-2020
  • Mathematics
contestada

What is the equation of the line that passes through the point (5,-2) and has a slope of -2\5

Respuesta :

Stephen46
Stephen46 Stephen46
  • 02-10-2020

Answer:

The answer is

[tex]y = - \frac{2}{5} x \\ [/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is ( 5 , - 2) and slope is - 2/5

The equation of the line is

[tex]y + 2 = - \frac{2}{5} (x - 5) \\ y + 2 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 2[/tex]

We have the final answer as

[tex]y = - \frac{2}{5} x \\ [/tex]

Hope this helps you

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